
Time bar (total: 2.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 349.0ms | 8 256× | 0 | valid |
ival-div: 80.0ms (51.7% of total)ival-sub: 60.0ms (38.7% of total)exact: 6.0ms (3.9% of total)ival-true: 5.0ms (3.2% of total)ival-assert: 3.0ms (1.9% of total)| 2× | egg-herbie |
| 26× | sub-neg |
| 24× | distribute-lft-neg-in |
| 16× | cancel-sign-sub-inv |
| 12× | associate-+l- |
| 12× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 20 | 12 |
| 2 | 42 | 9 |
| 3 | 68 | 9 |
| 4 | 107 | 9 |
| 5 | 124 | 9 |
| 6 | 132 | 9 |
| 7 | 138 | 9 |
| 8 | 143 | 9 |
| 9 | 145 | 9 |
| 0 | 6 | 3 |
| 1 | 11 | 3 |
| 2 | 12 | 3 |
| 0 | 12 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- x (/ 1 3)) |
| Outputs |
|---|
(- x (/ 1 3)) |
(+.f64 x #s(literal -1/3 binary64)) |
| Inputs |
|---|
(- x (/ 1 3)) |
(- (neg x) (/ 1 3)) |
(neg (- (neg x) (/ 1 3))) |
| Outputs |
|---|
(- x (/ 1 3)) |
(+ x -1/3) |
(- (neg x) (/ 1 3)) |
(- -1/3 x) |
(neg (- (neg x) (/ 1 3))) |
(+ x 1/3) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 21.0ms | 512× | 0 | valid |
Compiled 38 to 24 computations (36.8% saved)
ival-div: 6.0ms (60.4% of total)ival-sub: 2.0ms (20.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | 1-exp |
| 2× | --lowering--.f32 |
| 2× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 11 | 7 |
| 2 | 12 | 7 |
| 0 | 12 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ 1 3)) |
x |
(/ 1 3) |
1 |
3 |
| Outputs |
|---|
(- x (/ 1 3)) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(/ 1 3) |
#s(literal 1/3 binary64) |
1 |
#s(literal 1 binary64) |
3 |
#s(literal 3 binary64) |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 9.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-div: 2.0ms (54.3% of total)ival-sub: 1.0ms (27.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 3)> |
#<alt (- x (/ 1 3))> |
| Outputs |
|---|
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt x> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (- x (/ 1 3)) |
| 0.0ms | x | @ | -inf | (- x (/ 1 3)) |
| 0.0ms | x | @ | 0 | (- x (/ 1 3)) |
| 1× | batch-egg-rewrite |
| 6 912× | accelerator-lowering-fma.f32 |
| 6 912× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 3 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 25 | 4 |
| 2 | 127 | 4 |
| 3 | 973 | 4 |
| 0 | 8520 | 4 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 3) |
(- x (/ 1 3)) |
| Outputs |
|---|
#s(literal 1/3 binary64) |
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal -1/27 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (*.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/19683 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) x)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64)))) |
| 1× | egg-herbie |
| 192× | accelerator-lowering-fma.f32 |
| 192× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 96× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 32 | 30 |
| 2 | 75 | 30 |
| 3 | 158 | 30 |
| 4 | 412 | 30 |
| 5 | 523 | 30 |
| 6 | 576 | 30 |
| 7 | 599 | 30 |
| 8 | 601 | 30 |
| 0 | 601 | 30 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- x 1/3) |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
Compiled 11 326 to 758 computations (93.3% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 322 | 3 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 323 | 3 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 53.0% | x |
| ▶ | 48.2% | #s(literal -1/3 binary64) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 x #s(literal 1/3 binary64)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | --lowering--.f32 |
| 2× | sub-neg |
| 2× | --lowering--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 6 | 7 |
| 2 | 7 | 7 |
| 0 | 7 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
x |
(- x 1/3) |
x |
1/3 |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
x |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
1/3 |
#s(literal 1/3 binary64) |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| 13.0ms | 256× | 0 | valid |
Compiled 9 to 6 computations (33.3% saved)
const: 6.0ms (80.7% of total)ival-sub: 1.0ms (13.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x 1/3)> |
| Outputs |
|---|
#<alt -1/3> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt (- x 1/3)> |
#<alt x> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt (* x (- 1 (* 1/3 (/ 1 x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
#<alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- x 1/3) |
| 0.0ms | x | @ | -inf | (- x 1/3) |
| 0.0ms | x | @ | inf | (- x 1/3) |
| 1× | batch-egg-rewrite |
| 6 912× | accelerator-lowering-fma.f32 |
| 6 912× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 3 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 1 | 21 | 3 |
| 2 | 124 | 3 |
| 3 | 972 | 3 |
| 0 | 8551 | 3 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x 1/3) |
| Outputs |
|---|
(+.f64 x #s(literal -1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))) |
(+.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/27 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x)) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64)) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))) |
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))))) (*.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) (+.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64))) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal 1/19683 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 x #s(literal 1/3 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 x #s(literal 1/3 binary64)))) |
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(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal -1/9 binary64)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1/9 binary64)))) |
| 1× | egg-herbie |
| 192× | accelerator-lowering-fma.f32 |
| 192× | accelerator-lowering-fma.f64 |
| 144× | *-lowering-*.f32 |
| 144× | *-lowering-*.f64 |
| 96× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 32 | 30 |
| 2 | 75 | 30 |
| 3 | 158 | 30 |
| 4 | 412 | 30 |
| 5 | 523 | 30 |
| 6 | 576 | 30 |
| 7 | 599 | 30 |
| 8 | 601 | 30 |
| 0 | 601 | 30 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
-1/3 |
(- x 1/3) |
(- x 1/3) |
(- x 1/3) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
| Outputs |
|---|
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
(- x 1/3) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(+.f64 x #s(literal -1/3 binary64)) |
Compiled 11 390 to 762 computations (93.3% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 324 | 0 | 324 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 324 | 3 | 327 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 53.0% | x |
| ✓ | 48.2% | #s(literal -1/3 binary64) |
Compiled 19 to 14 computations (26.3% saved)
| Inputs |
|---|
#s(literal -1/3 binary64) |
x |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal -1/3 binary64) |
x |
| Outputs |
|---|
x |
#s(literal -1/3 binary64) |
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal -1/3 binary64) |
| Outputs |
|---|
#s(literal -1/3 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.028262279932632313 | 1160.1691315650248 |
| 33.0ms | -2.8163771291888864 | -0.014917071597997296 |
| 8.0ms | 240× | 0 | valid |
Compiled 99 to 84 computations (15.2% saved)
ival-div: 2.0ms (56.4% of total)ival-sub: 1.0ms (28.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 15 | 15 |
| 2 | 20 | 15 |
| 3 | 22 | 15 |
| 4 | 23 | 15 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x)) |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) x (if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) #s(literal -1/3 binary64) x)) |
#s(literal -1/3 binary64) |
| 6 912× | accelerator-lowering-fma.f32 |
| 6 912× | accelerator-lowering-fma.f64 |
| 4 474× | *-lowering-*.f32 |
| 4 474× | *-lowering-*.f64 |
| 3 944× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 25 | 4 |
| 2 | 127 | 4 |
| 3 | 973 | 4 |
| 0 | 8520 | 4 |
| 0 | 13 | 30 |
| 1 | 32 | 30 |
| 2 | 75 | 30 |
| 3 | 158 | 30 |
| 4 | 412 | 30 |
| 5 | 523 | 30 |
| 6 | 576 | 30 |
| 7 | 599 | 30 |
| 8 | 601 | 30 |
| 0 | 601 | 30 |
| 1× | done |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 26 to 18 computations (30.8% saved)
Compiled 44 to 30 computations (31.8% saved)
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